Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
This paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with...
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Online Access: | http://dx.doi.org/10.1155/2013/487545 |
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doaj-594910a8ef6247639b07a34cbc6eaa5c2020-11-24T23:07:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/487545487545Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach SpacesA. M. Saddeek0S. A. Ahmed1Department of Mathematics, Faculty of Science, Assiut University, Assiut, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut, EgyptThis paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state.http://dx.doi.org/10.1155/2013/487545 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. M. Saddeek S. A. Ahmed |
spellingShingle |
A. M. Saddeek S. A. Ahmed Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces Abstract and Applied Analysis |
author_facet |
A. M. Saddeek S. A. Ahmed |
author_sort |
A. M. Saddeek |
title |
Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces |
title_short |
Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces |
title_full |
Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces |
title_fullStr |
Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces |
title_full_unstemmed |
Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces |
title_sort |
multivalued variational inequalities with -pseudomonotone mappings in reflexive banach spaces |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2013-01-01 |
description |
This paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state. |
url |
http://dx.doi.org/10.1155/2013/487545 |
work_keys_str_mv |
AT amsaddeek multivaluedvariationalinequalitieswithpseudomonotonemappingsinreflexivebanachspaces AT saahmed multivaluedvariationalinequalitieswithpseudomonotonemappingsinreflexivebanachspaces |
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1725618949112987648 |